218865434832 has 80 divisors (see below), whose sum is σ = 685336224960. Its totient is φ = 66322857600.

The previous prime is 218865434783. The next prime is 218865434857. The reversal of 218865434832 is 238434568812.

218865434832 is a `hidden beast` number, since 2 + 18 + 8 + 6 + 543 + 4 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23024019 + ... + 23033522.

It is an arithmetic number, because the mean of its divisors is an integer number (8566702812).

Almost surely, 2^218865434832 is an apocalyptic number.

218865434832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

218865434832 is an abundant number, since it is smaller than the sum of its proper divisors (466470790128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218865434832 is a wasteful number, since it uses less digits than its factorization.

218865434832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46057569 (or 46057557 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 218865434832 in words is "two hundred eighteen billion, eight hundred sixty-five million, four hundred thirty-four thousand, eight hundred thirty-two".